Optimal control problems for the semilinear second order evolution equations

被引：0

作者：

Park, JY ^{[1
]}

Park, SH ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2003年 / 40卷 / 05期

关键词：

optimal control; semilinear hyperbolic systems; cost functional; sufficient conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the optimal control for the clamped semilinear hyperbolic systems with unknown parameters (C(t)y')' + A(2)(t, q)y' + A, (t, q)y = f (t q, y, u). We will prove the existence of weak solution of this system and is to find the optimal control pair ((q) over bar,(u) over bar) is an element of Q(tau) x U-ad such that inf(u)is an element ofU(ad) sup(qis an element ofQtau) J(q, u) = J((q) over bar, (u) over bar).

引用

页码：769 / 788

页数：20

共 20 条

[1]

AHEMD NU, 1982, J OPTIM THEORY APPL, V38, P423

[2]

AHEMD NU, 1988, PITMAN RES NOTES MAT, V184

[3] Nonlinear uncertain systems and necessary conditions of optimality [J].